Weibull Random Numbers

Weibull distributed pseudorandom numbers.

Usage

var weibull = require( '@stdlib/math/base/random/weibull' );

weibull( k, lambda )

Returns a pseudorandom number drawn from a Weibull distribution with scale parameter k and shape parameter lambda.

var r = weibull( 2.0, 5.0 );
// returns <number>

If k <= 0 or lambda <= 0, the function returns NaN.

var r = weibull( -2.0, 2.0 );
// returns NaN

r = weibull( 2.0, -2.0 );
// returns NaN

If k or lambda is NaN, the function returns NaN.

var r = weibull( 5.0, NaN );
// returns NaN

r = weibull( NaN, 2.0 );
// returns NaN

weibull.factory( [k, lambda, ][options] )

Returns a pseudorandom number generator (PRNG) for generating pseudorandom numbers drawn from a Weibull distribution.

var rand = weibull.factory();

var r = rand( 1.5, 1.5 );
// returns <number>

If provided k and lambda, the returned generator returns random variates from the specified distribution.

var rand = weibull.factory( 1.5, 1.5 );

var r = rand();
// returns <number>

r = rand();
// returns <number>

If not provided k and lambda, the returned generator requires that both parameters be provided at each invocation.

var rand = weibull.factory();

var r = rand( 1.0, 1.0 );
// returns <number>

r = rand( 3.14, 2.25 );
// returns <number>

The function accepts the following options:

• seed: pseudorandom number generator seed.

To seed a pseudorandom number generator, set the seed option.

var rand = weibull.factory({
    'seed': 12345
});

var r = rand( 2.0, 3.0 );
// returns <number>

rand = weibull.factory( 2.0, 3.0, {
    'seed': 12345
});

r = rand();
// returns <number>

weibull.NAME

The generator name.

var name = weibull.NAME;
// returns 'weibull'

weibull.PRNG

The underlying pseudorandom number generator.

var prng = weibull.PRNG;
// returns <Function>

weibull.SEED

The value used to seed weibull().

var rand;
var r;
var i;

// Generate pseudorandom values...
for ( i = 0; i < 100; i++ ) {
    r = weibull( 2.0, 2.0 );
}

// Generate the same pseudorandom values...
rand = weibull.factory( 2.0, 2.0, {
    'seed': weibull.SEED
});
for ( i = 0; i < 100; i++ ) {
    r = rand();
}

Examples

var weibull = require( '@stdlib/math/base/random/weibull' );

var seed;
var rand;
var i;

// Generate pseudorandom numbers...
console.log( '\nseed: %d', weibull.SEED );
for ( i = 0; i < 100; i++ ) {
    console.log( weibull( 2.0, 2.0 ) );
}

// Create a new pseudorandom number generator...
seed = 1234;
rand = weibull.factory( 6.0, 2.0, {
    'seed': seed
});
console.log( '\nseed: %d', seed );
for ( i = 0; i < 100; i++ ) {
    console.log( rand() );
}

// Create another pseudorandom number generator using a previous seed...
rand = weibull.factory( 2.0, 2.0, {
    'seed': weibull.SEED
});
console.log( '\nseed: %d', weibull.SEED );
for ( i = 0; i < 100; i++ ) {
    console.log( rand() );
}